Fig. 25.
3.292. gi = 1/2(-1)- Bafit, where n = 1, 2, . . . is the number of the half-revolution that the loop performs at the given moment t. The plot gi (t) is shown in Fig. 25 where t„, = V2nn/13.
3.293. /ind = a/r, where a =
3.294. gi_ µu . 2 ( I
s± a2v a) .
4n
3.295. ei 1 /2 (wa3/33 + 2mg sin tot)laB.
3.296. v
mgR sin a
B2/2
•
3.297. w
g sin a.
1+1 2B2cim •
3.298. (P) = 1/2 (no.ia2B)2/R.
3.299. B = '12qRINS = 0.5 T.
3.300. q=-1.;ort a in b b+ a a i.e. is independent of L.
3.301. (a) / = 1j 2° 51 1:;, i
'v In 1
2 ; ; (b) F=i-(11: ln -b w )2 .
3.302. (a) s = vom11112B2, (b) Q = 1.12mv:.
3.303. v= am — (1— e-at), where ar =B2/2/mR.
3.304. (a) In the round conductor the current flows clockwise,
there is no current in the connector; (b) in the outside conductor,
clockwise; (c) in both round conductors, clockwise; no current in
the connector, (d) in the left-hand side of the figure eight, clockwise.
3.305. I = ,o)B f
, (a — b)/p = 0.5 A.
3.306. cm. = 1/3na2/1Ta)Bo.
3.307. gi = 3/2W/ Bt2 = 12 mV.
3.308. E=
{ 1/2p,onir
for r
3.309. I = 1/41.t onSdi/p = 2 mA, where p is the resistivity
of copper.
3.310. E = 1/tab (ri —
+ 1).
3.311. co= — -26 +- n B (t).
3.312. Ft max fZa RT b: .
3.313. Q = i/3a2t3/R.
3.314. I =114(b2
a2) nh/p.
3.315. /=1/-4n/oL/R0 = 0.10 km.
3.316. L = 2 -2-
where p and po are the resistivity and the
4n Ippo
density of copper.
3.317. t= -- R in (1
= 1.5 s.
3.292. gi = 1/2(-1)- Bafit, where n = 1, 2, . . . is the number of the half-revolution that the loop performs at the given moment t. The plot gi (t) is shown in Fig. 25 where t„, = V2nn/13.
3.293. /ind = a/r, where a =
3.294. gi_ µu . 2 ( I
s± a2v a) .
4n
3.295. ei 1 /2 (wa3/33 + 2mg sin tot)laB.
3.296. v
mgR sin a
B2/2
•
3.297. w
g sin a.
1+1 2B2cim •
3.298. (P) = 1/2 (no.ia2B)2/R.
3.299. B = '12qRINS = 0.5 T.
3.300. q=-1.;ort a in b b+ a a i.e. is independent of L.
3.301. (a) / = 1j 2° 51 1:;, i
'v In 1
2 ; ; (b) F=i-(11: ln -b w )2 .
3.302. (a) s = vom11112B2, (b) Q = 1.12mv:.
3.303. v= am — (1— e-at), where ar =B2/2/mR.
3.304. (a) In the round conductor the current flows clockwise,
there is no current in the connector; (b) in the outside conductor,
clockwise; (c) in both round conductors, clockwise; no current in
the connector, (d) in the left-hand side of the figure eight, clockwise.
3.305. I = ,o)B f
, (a — b)/p = 0.5 A.
3.306. cm. = 1/3na2/1Ta)Bo.
3.307. gi = 3/2W/ Bt2 = 12 mV.
3.308. E=
{ 1/2p,onir
for r
3.309. I = 1/41.t onSdi/p = 2 mA, where p is the resistivity
of copper.
3.310. E = 1/tab (ri —
+ 1).
3.311. co= — -26 +- n B (t).
3.312. Ft max fZa RT b: .
3.313. Q = i/3a2t3/R.
3.314. I =114(b2
a2) nh/p.
3.315. /=1/-4n/oL/R0 = 0.10 km.
3.316. L = 2 -2-
where p and po are the resistivity and the
4n Ippo
density of copper.
3.317. t= -- R in (1
= 1.5 s.